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JAMB Mathematics 1995 Question 36

Question 36

Trigonometry

QRS is a triangle with QS = 12m, ∠RQS = 30° and ∠QRS = 45°. Calculate the length of RS.

  1. A.18√2m
  2. B.12√2m
  3. C.6√2m
  4. D.3√2m
Show the answer and explanation

Answer: C (6√2m)

Explanation

Sine rule: RS/sin 30° = QS/sin 45°. So RS = 12 × ½ ÷ (√2/2) = 12/√2 = 6√2 m.